# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0894 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0894?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 870, page id 851708439:0894 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=894 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000894.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.85 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. 2. TTone crura (e consequenter anguli oppole) sunc similia vel distimilia, 1 elt = 90. Sed in ABD A, hypocenula B A est = 90. PRTGONOMETRLA SPHERICA. hypocenula est =1 ansuli sunc similes. Sin hyporenula (ic = 90, crura Tunc dissimilia, ee anguli distimiles. quitur d X e 2. 5. Vicistim C crus sic simide. dictim. dissimile Ouo melius ob oculos producantur Sinus de Cotinus, alixeque Rectae ad ArCUS spectances, quae alias lacene intra Sphaerae Soliditarem demertae: COmpinGANEUIE AF. cus vel semicirculi ex charta crastiore fere ad modum Sphaerae Armillaris. Sinc puca Arcus BP, B A, et incelligacur Planum Areus majoris B P H circa axem BH co =90. Sic in criangulis, ED A, P C A, hypocenula AF 3. Vice verta. Si hypocenula (ic = 00; crura lune similia, e bini obliqui 9. 10. ulque converti, dum perpendicularis d P demicta ad planum B a FY incidat in ali- quod punctum D Racii C A. Nam in co ticu eric L’AB Fean Spherieum Deinde incelligatur PC A (Schematis 1Y) = PC A (Schemacis 1O;) de in eo collocetur ica _ seta CalM COHBLHANE. DUCANEUE AK, BP, LR, de c0 prima, de exinde Eloperciones pro variis Priangulo. mecrarum methodo agaenuS procedam: incer plana BPC, BAC lupCriOrIS SOHOI, SCacaCI Cta FI Sura 12 Chartacca, eo loco quem licerae indicant. Rectangulum ad A, _ BP AypocenuIa, B A BaliS, P A Areus perpendieuLaTIS. PF TBC: CrUNE AF, PF, PD, SinUS ArcuUm B A, NUS R C, FC, DC. IIIS PIX Sicis vel concepcis, illico constabune Axiomaca duo rum Rectangulorum calibus absque novo Schemace vel lacerum Proc aa. SEd BIE reCePEa FrIBONO. Tum in Priangutis Acclatisulis Sphaericis PBA, _B a eundem angulum acucum ad balem habencibus. Aa L Primum. Fig. 12. dinus lypocenularum Luns dumbus Perpendicularium proportionales. Ll. C2OM A PD:: XC. 25.